An attempt to use phylogenetic invariants for tree reconstruction was made at the end of the 80s and the beginning of the 90s by several authors (the initial idea due to Lake [Lake, 1987] and Cavender and Felsenstein [Cavender ...

We prove that, for every r 2, the moduli space Ms X.rI c1; c2/ of rank r stable vector bundles with Chern classes c1 D rH and c2 D 1 2 .3r2 􀀀 r/ on a nonsingular cubic surface X P3 contains a nonempty smooth open ...

To those outside the field, and even to some focused on empirical applications, phylogenetics may appear to have little to do with algebra. Probability and statistics are clearly important ingredients, as modeling and ...

En aquest treball estudiem i comparem dos mètodes de reconstrucció filogenètica basats en quartets. A la introducció, repassem què és un arbre filogenètic i algunes tècniques que ens ajuden a inferir-lo a partir del codi ...